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Finding the Fourth Proportional to 477,509.69, 659,056.96 and 273,697.22

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Solution

The fourth proportional to 477,509.69, 659,056.96 and 273,697.22 is: 377,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,509.69 : 659,056.96 = 273,697.22 : x
  2. Step 2: Convert to fraction form
    477,509.69/659,056.96 = 273,697.22/x
  3. Step 3: Cross multiply
    477,509.69x = 659,056.96 × 273,697.22
  4. Step 4: Simplify right side
    477,509.69x = 180,382,057,773.65
  5. Step 5: Solve for x
    x = 180,382,057,773.65/477,509.69
  6. Step 6: Final answer
    x = 377,755.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.